Nonlinear Random Differential Equations with n Sequential Fractional Derivatives

Yfrah Hafssa; Zoubir Dahmani

doi:10.2478/mjpaa-2022-0001

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Nonlinear Random Differential Equations with n Sequential Fractional Derivatives

Moroccan Journal of Pure and Applied Analysis

Volume 8 (2022): Issue 1 (January 2022)

By: Yfrah Hafssa and Zoubir Dahmani

Open Access

|Jan 2022

Abstract

This article deals with a solvability for a problem of random fractional differential equations with n sequential derivatives and nonlocal conditions. The existence and uniqueness of solutions for the problem is obtained by using Banach contraction principle. New random data concepts for the considered problem are introduced and some related definitions are given. Also, some results related to the dependance on the introduced data are established for both random and deterministic cases.

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